A mothers purse contains five 1 bills six 5 bills and two 10

A mother\'s purse contains five $1 bills, six $5 bills, and two $10 bills in a random order. A child finds the purse and takes three bills. The random variable is the number of $5 bills taken. Give all possible values of the random variable.

Solution

Let X is a random variable showing the number of $5 bills taken out of 3. There are total six $5 bills so X can take value 0, 1, 2, 3.